n+ 1 ( an ) ! 2. Let an = ( 1 ) ( n ! ) 2 anti ( 21) 2 a ) Find lim 3. Let an = . a ) Find lim an Jan _ an converge? why ? 6) Does an converge ? b) Does n= 1 why ?4. " Repeat" problem 2 using an=. n! n n 5. Determine the Maclaurin for : a ) X - X 1 - e arctan ( x 2 ) 1 - X 2 "; b)xcos (x 2 ) ; c ) "' d ) X x 2 -je) In ( 1+ 3x?) ; f ) x sin ( 2X )